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Parametric well-posedness for variational inequalities defined by bifunctions

✍ Scribed by Ya-Ping Fang; Rong Hu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 246 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.09.009

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✦ Synopsis

In this paper we introduce the concepts of parametric well-posedness for Stampacchia and Minty variational inequalities defined by bifunctions. We establish some metric characterizations of parametric well-posedness. Under suitable conditions, we prove that the parametric well-posedness is equivalent to the existence and uniqueness of solutions to these variational inequalities.